A. Baker, Linear forms in the logarithms of algebraic numbers, Mathematika, vol.I, pp.204-216, 1966.

A. Baker, Contributions to the theory of Diophantine equations I: On the representation of integers by binary forms, Phil. Trans. Roy. Soc. London, vol.263, pp.173-208, 1968.

A. Baker, Bounds for the solutions of the hyperelliptic equation, Proc. Camb. Philos. Soc, vol.65, pp.439-444, 1969.

A. Baker, A sharpening of the bounds for linear forms in logarithms I, Acta Arith, vol.21, pp.117-129, 1972.

A. Baker, Transcendental Number Theory, 1975.

A. Baker, The theory of linear forms in logarithms, Ch. 1 of Transcendence Theory: Advances and Applications, pp.1-27, 1977.

, New Advances in Transcendence Theory, 1988.

A. Baker and J. Coates, Integer points on curves of genus 1, Proc. Camb. Philos. Soc, vol.67, pp.595-602, 1970.

A. Baker and G. W?stholz, Logarithmic forms and group varieties, J. reine angew. Math, vol.442, pp.19-62, 1993.

M. A. Bennett, Rational appoximation to algebraic numbers of small height: the Diophantine equation |ax n ?by n | = 1, J. reine angew. Math, vol.535, pp.1-49, 2001.

M. A. Bennett, K. Gy?ry, and . Pintér, On the Diophantine equation 1 k + 2 k + . . . + x k = y n, Compos. Math, vol.140, pp.1417-1431, 2004.

M. A. Bennett and C. M. Skinner, Ternary Diophantine equations via Galois representations and modular forms, vol.56, pp.23-54, 2004.

Y. F. Bilu, Y. Bugeaud, and M. Mignotte, The Problem of Catalan, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01260640

F. E. Browder, Mathematical developments arising from Hilbert problems, 1976.

Y. Bugeaud, M. Mignotte, and S. Siksek, Classical and modular approaches to exponential Diophantine equations I, Fibonacci and Lucas powers, Ann. Math, vol.163, pp.969-1018, 2006.
URL : https://hal.archives-ouvertes.fr/hal-00101193

J. Coates, An effective p-adic analogue of a theorem of Thue, Acta Arith, vol.I, pp.425-435, 1969.

P. L. Cijsouw, Transcendence measures of certain numbers whose transcendency was proved by A. Baker, Compos. Math, vol.28, pp.179-194, 1974.

N. I. Feldman, An estimate of the absolute value of a linear form in the logarithms of certain algebraic numbers, Mat. Zametki, vol.2, pp.245-256, 1967.

N. I. Feldman, An improvement of the estimate of a linear form in the logarithms of algebraic numbers, Mat. Sbornik, vol.77, pp.423-436, 1968.

N. I. Feldman and Y. V. Nesterenko, of Encyclopedia of Mathematical Sciences, vol.44, 1998.

A. O. Gelfond, Transcendental and Algebraic Numbers, 1960.

K. Gy?ry, . Hajdu, and . Pintér, Perfect powers from products of consecutive terms in arithmetic progressions, Compos. Math, vol.145, pp.845-864, 2009.

K. Gy?ry, R. Tijdeman, and M. Voorhoeve, On the equation 1 k + 2 k + · · · + x k = y z, Acta Arith, vol.37, pp.233-240, 1976.

D. Masser and A. Baker, Notices AMS, vol.66, issue.1, pp.32-35, 1939.

D. Masser and G. W?stholz, Zero estimates on group varieties, Invent. Math, vol.80, pp.233-267, 1985.

M. Mignotte and M. Waldschmidt, Linear forms in two logarithms and Schneider's method II, Acta Arith, vol.53, pp.251-287, 1989.

P. Mih?ilescu, Primary cyclotomic units and a proof of Catalan's conjecture, J. reine angew. Math, vol.572, pp.167-195, 2004.

P. Mih?ilescu, On the class groups of cyclotomic extensions in the presence of a solution to Catalan's equation, J. Number Th, vol.118, pp.123-144, 2006.

A. Peth?, Perfect powers in second order linear recurrences, J. Number Th, vol.15, pp.5-13, 1982.

P. Philippon and M. Waldschmidt, Lower bounds for linear forms in logarithms, New Advances in Transcendence Theory, pp.280-312, 1988.

A. J. Van-der-poorten, Linear forms in logarithms in the p-adic case, of Transcendence Theory: Advances and Applications, pp.29-57, 1977.

K. Ramachandra, T. N. Shorey, and R. Tijdeman, On Grimm's problem relating to factorisation of a block of consecutive integers, J. reine angew. Math, vol.273, pp.109-124, 1975.

C. Reid and H. , , p.164, 1970.

A. Schinzel and R. Tijdeman, On the equation y m = P (x), Acta Arith, vol.31, pp.199-204, 1976.

. Th and . Schneider, Einf?hrung in die transcendenten Zahlen, 1957.

R. Schoof, Catalan's conjecture, 2008.

T. N. Shorey, On gaps between numbers with a large prime factor II, Acta Arith, vol.25, pp.271-292, 1974.

T. N. Shorey, On linear forms in the logarithms of algebraic numbers, Acta Arith, vol.30, pp.27-42, 1976.

T. N. Shorey, Some exponential equations, New Advances in Transcendence Theory, pp.217-229, 1988.

T. N. Shorey, Diophantine approximations, Diophantine equations, transcendence and applications, Indian J. Pure Appl. Math, vol.37, pp.9-39, 2006.

T. N. Shorey and C. L. Stewart, On the Diophantine equation ax 2t + bx t y + cy 2 = d and pure powers in recurrence sequences, Math. Scand, vol.52, pp.24-36, 1983.

T. N. Shorey and R. Tijdeman, New applications of Diophantine approximations to Diophantine equations, Math. Scand, vol.39, pp.5-18, 1976.

T. N. Shorey and R. Tijdeman, Exponential Diophantine Equations, 1986.

R. Tijdeman, On the number of zeros of general exponential polynomials, Indag. Math, vol.33, pp.1-7, 1971.

R. Tijdeman, On the algebraic independence of certain numbers, Indag. Math, vol.33, pp.146-162, 1971.

R. Tijdeman, Some applications of Baker's sharpened bounds to Diophantine equations, vol.7, p.pp

R. Tijdeman, On the equation of Catalan, Acta Arith, vol.29, pp.197-209, 1976.

P. Turán, On the distribution of zeros of general exponential polynomials, Publ. Math. Debrecen, vol.7, pp.130-136, 1960.

M. Waldschmidt, Diophantine Approximations on Linear Algebraic Groups, Transcendence Properties of the Exponential Function in Several Variables, 2000.

B. M. De-weger, Algorithms for Solving Diophantine Equations. CWI-Tract, vol.65, 1989.

A. Wiles, Modular elliptic curves and Fermat's Last Theorem, Ann. Math, vol.141, pp.443-551, 1995.

G. W?stholz, A Panorama of Number Theory or The View from Baker's Garden, 2002.

K. R. Yu, A Panorama of Number Theory or The View from Baker's Garden, pp.11-25, 2002.

R. Tijdeman, Mathematical Institite Leiden University Postbus 9512, 2300 RA Leiden, The Netherlands e-mail : tijdeman@math